Presentation Information
[SS25-03]Modeling Calcium Dynamics in Astrocytes Using Fuzzy
Differential Equations
*BRAJESH KUMAR Jha1 (1. Pandit Deendayal Energy University (India))
Keywords:
Astrocytes,Calcium ions,Buffers,Fuzzy system
Calcium ions in astrocytes play a crucial role in various physiological processes, including
neurotransmitter regulation, synaptic plasticity, and communication within the central nervous
system. Traditional modeling of calcium signaling often relies on deterministic differential
equations, which may not fully capture the inherent uncertainties and complexities of biological
systems. In this study, we propose a novel approach to model calcium dynamics in astrocytes
using fuzzy differential equations (FDEs). FDEs allow for the incorporation of uncertainty,
variability, and imprecision inherent in biological systems, providing a more flexible and
realistic framework for modeling calcium signaling. In this model of intracellular calcium
concentration to account for fuzzy parameters, such as receptor sensitivity, channel
permeability, and intracellular buffering is incorporated. The fuzzy system is represented using
linguistic variables and fuzzy sets, which offer a way to describe the uncertain or imprecise
nature of physiological processes. The fuzzy differential equations using appropriate numerical
methods, ensuring the stability and robustness of the model under varying conditions. Our
results demonstrate that the fuzzy differential equation framework is effective in simulating
calcium dynamics in astrocytes, providing insight into how fluctuations and uncertainties in
biological parameters affect calcium signaling. Ultimately, this model can be applied to study
the impact of perturbations, diseases, or therapeutic interventions on astrocyte function and
neural network activity.
neurotransmitter regulation, synaptic plasticity, and communication within the central nervous
system. Traditional modeling of calcium signaling often relies on deterministic differential
equations, which may not fully capture the inherent uncertainties and complexities of biological
systems. In this study, we propose a novel approach to model calcium dynamics in astrocytes
using fuzzy differential equations (FDEs). FDEs allow for the incorporation of uncertainty,
variability, and imprecision inherent in biological systems, providing a more flexible and
realistic framework for modeling calcium signaling. In this model of intracellular calcium
concentration to account for fuzzy parameters, such as receptor sensitivity, channel
permeability, and intracellular buffering is incorporated. The fuzzy system is represented using
linguistic variables and fuzzy sets, which offer a way to describe the uncertain or imprecise
nature of physiological processes. The fuzzy differential equations using appropriate numerical
methods, ensuring the stability and robustness of the model under varying conditions. Our
results demonstrate that the fuzzy differential equation framework is effective in simulating
calcium dynamics in astrocytes, providing insight into how fluctuations and uncertainties in
biological parameters affect calcium signaling. Ultimately, this model can be applied to study
the impact of perturbations, diseases, or therapeutic interventions on astrocyte function and
neural network activity.